Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680q |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5486836131302400 = 210 · 37 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252003,48561298] |
[a1,a2,a3,a4,a6] |
j |
2370900673008004/7350121275 |
j-invariant |
L |
1.7206338603478 |
L(r)(E,1)/r! |
Ω |
0.43015846745215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840s4 28560bs3 |
Quadratic twists by: -4 -3 |